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204425040 = 24356712713
BaseRepresentation
bin11000010111101…
…00011101010000
3112020122212102210
430023310131100
5404313100130
632141312120
75031404241
oct1413643520
9466585383
10204425040
11a5435616
1258565640
1333476481
141d214cc8
1512e305b0
hexc2f4750

204425040 has 80 divisors (see below), whose sum is σ = 643226688. Its totient is φ = 53695488.

The previous prime is 204425003. The next prime is 204425041. The reversal of 204425040 is 40524402.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 204424998 and 204425016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (204425041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9724 + ... + 22436.

Almost surely, 2204425040 is an apocalyptic number.

204425040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 204425040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321613344).

204425040 is an abundant number, since it is smaller than the sum of its proper divisors (438801648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

204425040 is a wasteful number, since it uses less digits than its factorization.

204425040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12796 (or 12790 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 21.

The square root of 204425040 is about 14297.7284909177. The cubic root of 204425040 is about 589.0850896946.

Adding to 204425040 its reverse (40524402), we get a palindrome (244949442).

The spelling of 204425040 in words is "two hundred four million, four hundred twenty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 67 80 120 134 201 240 268 335 402 536 670 804 1005 1072 1340 1608 2010 2680 3216 4020 5360 8040 12713 16080 25426 38139 50852 63565 76278 101704 127130 152556 190695 203408 254260 305112 381390 508520 610224 762780 851771 1017040 1525560 1703542 2555313 3051120 3407084 4258855 5110626 6814168 8517710 10221252 12776565 13628336 17035420 20442504 25553130 34070840 40885008 51106260 68141680 102212520 204425040